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Finding the Fourth Proportional to 342.96, 473.16 and 210.12

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Solution

The fourth proportional to 342.96, 473.16 and 210.12 is: 289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 473.16 = 210.12 : x
  2. Step 2: Convert to fraction form
    342.96/473.16 = 210.12/x
  3. Step 3: Cross multiply
    342.96x = 473.16 × 210.12
  4. Step 4: Simplify right side
    342.96x = 99,420.38
  5. Step 5: Solve for x
    x = 99,420.38/342.96
  6. Step 6: Final answer
    x = 289.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.